LCM of 845, 768, 861, 606, 278
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 845, 768, 861, 606, 278 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 845, 768, 861, 606, 278. So, keep reading to learn more.
Given numbers are 845,768,861,606,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,768,861,606,278 is 2614785089280.
Find LCM of 845,768,861,606,278 with Prime Factorization
| 2 | 845, 768, 861, 606, 278 |
| 3 | 845, 384, 861, 303, 139 |
| 845, 128, 287, 101, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 845 x 128 x 287 x 101 x 139 = 2614785089280
Therefore, the lowest common multiple of 845,768,861,606,278 is 2614785089280.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
845 x 768 x 861 x 606 x 278 = 94132263214080
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
845 : 1, 5, 13, 65, 169, 845
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
861 : 1, 3, 7, 21, 41, 123, 287, 861
606 : 1, 2, 3, 6, 101, 202, 303, 606
278 : 1, 2, 139, 278
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,768,861,606,278, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
768:2x 2x 2x 2x 2x 2x 2x 2x 3
861:3x 7x 41
606:2x 3x 101
278:2x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3 = 36
Therefore, the value for common factors is 36.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 94132263214080/(1x36)
LCM = 94132263214080/36
LCM = 2614785089280
Thus, we can understand that the LCM of 845,768,861,606,278 is 2614785089280.
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FAQs on LCM of 845, 768, 861, 606, 278
1. What is the LCM of 845, 768, 861, 606, 278?
Answer: LCM of 845, 768, 861, 606, 278 is 2614785089280.
2. How to calculate the LCM of 845, 768, 861, 606, 278?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 845, 768, 861, 606, 278.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.